Business Days in a Month Excluding Holidays, Including Weekends

My business is open 7 days a week, excluding some holidays. I want to calculate the number of Business Days (NOT working days) in the month, excluding Holidays.

For example, I want a formula that will return the number "30" for July.
Start Date = 7/1/2019
End Date = 8/1/2019
Holiday = 7/4/2019
I also need formula to count down how many days are remaining in the month, less the holiday.

For the life of me, I cannot find this formula. The DAYS function doesn't allow for holidays. The Networkdays and Networkdays.intl functions force me to exclude "weekends." The Workdays/Workdays.intl only results in date, not number of days.

Any help would be greatly appreciated.

Thank you SOOOOOO MUCH!